Question

express the angle into radians -35°40'30"​

Answer 1

Answer:

0.6231

First of all convert 35°40'30" in degree

Step-by-step explanation:

35°40'30"

60"=1'

30"=(1/2)'

40'+(1/2)'=(81/2)'

And now 60'=1°

(81/2)'=(81/120)°

Now 35°40'30 = 35°+ (81/120)°=(4281/120)°

1°= π /180

(4281/120)°=35.7°

35.7°=0.6231 rad

Another simple way of doing it but same as above:

35°40'30"

Convert minutes to degree.

40'=40/60=0.66

Convert seconds to degree

30"=30/3600=0.008

Now add them all:

35+0.66+0.008=35.7°

35.7°=0.6231 rad